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DOI: 10.23952/jnfa.2025.5
Received November 22, 2024; Accepted January 5, 2025; Published February 24, 2025
Abstract. In this paper, we introduce a self-adaptive inertial iterative algorithm for solving a split null point problem with maximal monotone operators and a common fixed point problem of a finite family of multivaluted demicontractive mappings and an infinite family of strict pseudo-contractive mappings between a Banach space and a Hilbert space. Next, we prove a strong convergence result for the proposed algorithm under some mild conditions on the control parameters without a priori estimate of the norm of the linear operator involved. Then, we give a numerical example to illustrate the effectiveness of the algorithm.
How to Cite this Article:
Y. Feng, Y. Wang, Inertial iterative algorithm with self-adptive step sizes for split null point problems and common fixed point problems, J. Nonlinear Funct. Anal. 2025 (2025) 5.